University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > A multi-dimensional Birkhoff theorem for Tonelli Hamiltonian flows

A multi-dimensional Birkhoff theorem for Tonelli Hamiltonian flows

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  • UserMarie-Claude Arnaud, Avignon
  • ClockWednesday 09 March 2011, 16:00-17:00
  • HouseMR4.

If you have a question about this talk, please contact Ivan Smith.

In the 20’s, Birkhoff proved that any essential curve that is invariant by a symplectic twist map of the 2-dimensional annulus is the graph of a continuous map. We will give the main ideas of the proof of the following multidimensional version of this result: “The manifold M being compact and connected, every submanifold of T*M that is Hamiltonianly isotopic to the zero-section and that is invariant by a Tonelli Hamiltonian flow is a graph.”

This talk is part of the Differential Geometry and Topology Seminar series.

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